GCD of 700, 112, 492, 141 Calculator

Given Input numbers are 700, 112, 492, 141

In the factoring method, we have to find the divisors of all numbers

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (700, 112, 492, 141) = 1.

Given numbers are 700, 112, 492, 141

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 141 are 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 700, 112, 492, 141

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(700, 112) = 2800

GCD(700, 112) = ( 700 x 112 ) / 2800

= 700 / 112

= 700

Step2:

LCM(28, 492) = 3444

GCD(28, 492) = ( 28 x 492 ) / 3444

= 28 / 492

= 28

Step3:

LCM(4, 141) = 564

GCD(4, 141) = ( 4 x 141 ) / 564

= 4 / 141

= 4

So, Greatest Common Divisor of 700, 112, 492, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 631, 100, 134
• GCD of 644, 361, 626, 161
• GCD of 947, 950, 844, 867
• GCD of 245, 672, 411, 290
• GCD of 970, 866, 527, 766

Given numbers are 700, 112, 492, 141
The greatest common divisor of numbers 700, 112, 492, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 112, 492, 141 is 1.

1. What is the GCD of 700, 112, 492, 141?

GCD of given numbers 700, 112, 492, 141 is 1

2. How to calculate the greatest common divisor of 700, 112, 492, 141?

We can find the highest common divisor of 700, 112, 492, 141 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 700, 112, 492, 141 i.e 1.

3. How can I use the GCD of 700, 112, 492, 141Calculator?

Out the numbers 700, 112, 492, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.